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Structure/Aerodynamic Nonlinear Dynamic Simulation Analysis of Long, Flexible Blade of Wind Turbine

Author

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  • Xiangqian Zhu

    (Key Laboratory of High-Efficiency and Clean Mechanical Manufacture of MOE, School of Mechanical Engineering, Shandong University, Jinan 250061, China
    State Key Laboratory of Advanced Equipment and Technology for Metal Forming, Shandong University, Jinan 250061, China)

  • Siming Yang

    (College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150006, China)

  • Zhiqiang Yang

    (Key Laboratory of High-Efficiency and Clean Mechanical Manufacture of MOE, School of Mechanical Engineering, Shandong University, Jinan 250061, China
    State Key Laboratory of Advanced Equipment and Technology for Metal Forming, Shandong University, Jinan 250061, China)

  • Chang Cai

    (Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China)

  • Lei Zhang

    (Goldwind Technology Co., Ltd., Beijing 100176, China)

  • Qing’an Li

    (Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China)

  • Jin-Hwan Choi

    (Department of Mechanical Engineering, Kyung Hee University, Yongin 17104, Republic of Korea)

Abstract

To meet the requirements of geometric nonlinear modeling and bending–torsion coupling analysis of long, flexible offshore blades, this paper develops a high-precision engineering simplified model based on the Absolute Nodal Coordinate Formulation (ANCF). The model considers nonlinear variations in linear density, stiffness, and aerodynamic center along the blade span and enables efficient computation of 3D nonlinear deformation using 1D beam elements. Material and structural function equations are established based on actual 2D airfoil sections, and the chord vector is obtained from leading and trailing edge coordinates to calculate the angle of attack and aerodynamic loads. Torsional stiffness data defined at the shear center is corrected to the mass center using the axis shift theorem, ensuring a unified principal axis model. The proposed model is employed to simulate the dynamic behavior of wind turbine blades under both shutdown and operating conditions, and the results are compared to those obtained from the commercial software Bladed. Under shutdown conditions, the blade tip deformation error in the y-direction remains within 5% when subjected only to gravity, and within 8% when wind loads are applied perpendicular to the rotor plane. Under operating conditions, although simplified aerodynamic calculations, structural nonlinearity, and material property deviations introduce greater discrepancies, the x-direction deformation error remains within 15% across different wind speeds. These results confirm that the model maintains reasonable accuracy in capturing blade deformation characteristics and can provide useful support for early-stage dynamic analysis.

Suggested Citation

  • Xiangqian Zhu & Siming Yang & Zhiqiang Yang & Chang Cai & Lei Zhang & Qing’an Li & Jin-Hwan Choi, 2025. "Structure/Aerodynamic Nonlinear Dynamic Simulation Analysis of Long, Flexible Blade of Wind Turbine," Energies, MDPI, vol. 18(16), pages 1-21, August.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:16:p:4362-:d:1725706
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    References listed on IDEAS

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    1. Guo, Shuangxi & Li, Yilun & Chen, Weimin, 2021. "Analysis on dynamic interaction between flexible bodies of large-sized wind turbine and its response to random wind loads," Renewable Energy, Elsevier, vol. 163(C), pages 123-137.
    2. Gao, Rongzhen & Yang, Junwei & Yang, Hua & Wang, Xiangjun, 2023. "Wind-tunnel experimental study on aeroelastic response of flexible wind turbine blades under different wind conditions," Renewable Energy, Elsevier, vol. 219(P2).
    3. Amna Algolfat & Weizhuo Wang & Alhussein Albarbar, 2022. "Study of Centrifugal Stiffening on the Free Vibrations and Dynamic Response of Offshore Wind Turbine Blades," Energies, MDPI, vol. 15(17), pages 1-19, August.
    4. Wang, Lin & Liu, Xiongwei & Renevier, Nathalie & Stables, Matthew & Hall, George M., 2014. "Nonlinear aeroelastic modelling for wind turbine blades based on blade element momentum theory and geometrically exact beam theory," Energy, Elsevier, vol. 76(C), pages 487-501.
    5. Wang, Xiangjun & Jiang, Lifeng & Amjad, Ali & Yang, Hua & Yang, Junwei, 2024. "Experimental investigation on Aeroelastic response of long flexible blades in turbulent flow," Applied Energy, Elsevier, vol. 375(C).
    6. Yewen Chen & Shuni Zhou & Chang Cai & Weilong Wang & Yuheng Hao & Teng Zhou & Xinbao Wang & Qingan Li, 2023. "Study on the Rotation Effect on the Modal Performance of Wind Turbine Blades," Energies, MDPI, vol. 16(3), pages 1-11, January.
    7. Wang, Yibo & Cai, Chang & Liao, Caicai & Hu, Zhiqiang & Zhang, Lei & Sun, Xiangyu & Zhong, Xiaohui & Li, Qing'an, 2025. "Aeroelastic stability analysis of large-scale wind turbine blades under different operating conditions based on system identification and Floquet theory," Energy, Elsevier, vol. 326(C).
    8. Xianyou Wu & Kai Feng & Qing’an Li, 2024. "A Numerical Method for the Dynamics Analysis of Blade Fracture Faults in Wind Turbines Using Geometrically Exact Beam Theory and Its Validation," Energies, MDPI, vol. 17(4), pages 1-18, February.
    9. Saravia, C. Martín & Gatti, Claudio D. & Ramirez, José M., 2017. "On the determination of the mechanical properties of wind turbine blades: Geometrical aspects of line based algorithms," Renewable Energy, Elsevier, vol. 105(C), pages 55-65.
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